Quantum Field Theory-I, Spring 2010

       Note 9 and a new homework are posted on July 1.

Time: Tue. 10
:10-11:00, Thu. 10:10-12:00
Classroom: Room 504, Physics

: Ling-Fong Li  (§õÆF®p)
e-mail: < lfli_AT_cmu_edu >

(1)    T. P Cheng and L. F. Li, ¡§Gauge Theory of Elementary Particle Physics¡¨, Oxford University Press (1984).
M. Peskin and D. Schroeder, ¡§An Introduction to Field Theory¡¨, Addison-Wesley (1995).
(3)    S. Weinberg, ¡§Quantum Field Theory¡¨ Volume 1, (Cambridge University Press) (1995).
(4)    M. Srednicki, ¡§Quantum Field Theory¡¨, (Cambridge University Press) (2007).
Grading Policy: Homework (100% )


This course will include the following topics:
Part I Quantization of Field Theory
     a)     Klein-Gordon Equation
Dirac Equation
    c)     Lorentz Group and its Representation 

(2)Canonical Quantization
Scalar Field
    b)    Fermion Field
    c)     Electromagnetic Field
    d)    Noether¡¦s Theorem

3)    (3)Path Integral Quantization

4)    (4) Interaction Theory and Feynman Rule

Part II Theory of Renormalization

(1)Renormalization in £f£p4 theory

Regularization schemes
b)    Counter terms & BPH scheme
c)     Power counting and renormalizability
(2)Renormalization group
Callan-Symanzik equation
b)    Renormalization equation in dimensional regularization
c)     Effective coupling constant

Part III Symmetry

(1)Global symmetry
Conservation laws
b)    Symmetry and renormalization
c)     Anomaly

(2)    Local symmetry
a)     Abelian gauge symmetry
b)    Non-abelian symmetry
c)     Quantization of gauge theories
Spontaneous symmetry breaking

Global spontaneous symmetry breaking
b)    Local spontaneous symmetry breaking
Standard model of eletroweak interactions
(5) QCD

(6)Spontaneous symmetry breaking
Goldstone theorem
b)    Higgs phenomena

Part IV Standard Model of Electroweak Interaction

(1)Construction of SU(2) X U(1) theory
Weak interaction before gauge theory
b)    Choice of the group and tree unitarity
c)     Gauge theory with leptons
d)    Quarks masses and mixing
(2)Phenomenology of Standard Model
Neutral current reactions
b)    W and Z gauge bosons
c)     Neutrino oscillations
d)    Higgs particle

Part V Theory of Strong Interaction--Quantum Chromodynamics

(1)Parton Model and Scaling
Deep inelastic scattering
b)    Bjorken scaling and light cone behavior
c)     Parton model and scaling
2)    QCD
a)     Quark Model and color symmetry
b)    Asymptotic freedom and Non-Abelian theory
c)     QCD Lagrangian
d)    Renormalization group analysis of scaling and scaling violation
e)     Quarkonium

Lecture Note:

Lecture Note 01 Lecture Note 02 Lecture Note 03 Lecture Note 04 Lecture Note 05
Lecture Note 06,6b, 6c Lecture Note 07 Lecture Note 08 Lecture Note 09 Lecture Note 10

Course Log and Video Clips( in .flv format):


since March 3, 2010
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